Posting this because I searched high and low and got conflicting answers. I can now confirm that a Falken WiIdpeak AT3/W P-metric 265/70/17 (31.6") does fit in a 2011 GX460 spare well without being deflated, and I do have the large OEM hitch. It's tight with only about 1/2" clearance between the tire and the sway bar, but it fits.
I sprayed coconut oil on the inner edge of the hitch bar, and it still took some wrestling to get it in there. Ran out of time to see how hard it is to get out, but I'll post back when I find out.
I sprayed coconut oil on the inner edge of the hitch bar, and it still took some wrestling to get it in there. Ran out of time to see how hard it is to get out, but I'll post back when I find out.